There are several synonyms for the phrase "sounding one's horn" that can be used interchangeably in different situations. One of the most common alternatives is "honking," which is usually used to describe a sharp, short blast of the horn. Another option is "blowing one's horn," which can be used to describe a longer, sustained sound. "Beeping," "tooting," and "trumpeting" are additional synonyms that can be used in specific contexts to convey different nuances of meaning. Ultimately, the choice of synonym will depend on the particular context, whether it's a friendly greeting, a warning signal, or a signal of displeasure.